A little feedback:
We visited Big Pink several times for breakfast and lunch, it is a great place. We also went to 11th Street Diner and Front Porch Cafe in South Beach, both are also recommendable.
Burger and Beer Joint is awesome! I wish we tried it earlier and not on our last day, the burgers are top notch, the beer selection amazing (I always end up drinking German beers).

Another very good burger place was Square 1 in Tampa!

Le Tub in FLL was a little bit too basic for my taste, the food was good though.